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2115936 = 25333179
BaseRepresentation
bin1000000100100101100000
310222111112000
420010211200
51020202221
6113204000
723661624
oct10044540
93874460
102115936
111215809
12860600
13591144
143d1184
152bbe26
hex204960

2115936 has 96 divisors (see below), whose sum is σ = 6451200. Its totient is φ = 673920.

The previous prime is 2115923. The next prime is 2115937. The reversal of 2115936 is 6395112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26745 + ... + 26823.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

22115936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225600).

2115936 is an abundant number, since it is smaller than the sum of its proper divisors (4335264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2115936 is a wasteful number, since it uses less digits than its factorization.

2115936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 2115936 is about 1454.6257250578. The cubic root of 2115936 is about 128.3810261072.

The spelling of 2115936 in words is "two million, one hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 79 93 96 108 124 144 158 186 216 237 248 279 288 316 372 432 474 496 558 632 711 744 837 864 948 992 1116 1264 1422 1488 1674 1896 2133 2232 2449 2528 2844 2976 3348 3792 4266 4464 4898 5688 6696 7347 7584 8532 8928 9796 11376 13392 14694 17064 19592 22041 22752 26784 29388 34128 39184 44082 58776 66123 68256 78368 88164 117552 132246 176328 235104 264492 352656 528984 705312 1057968 2115936